Question

The weights for newborn babies is approximately normally
distributed with a mean of 5.4 pounds and a standard deviation of
1.6 pounds.

Consider a group of 1100 newborn babies:

1. How many would you expect to weigh between 3 and 8 pounds?

2. How many would you expect to weigh less than 7 pounds?

3. How many would you expect to weigh more than 6 pounds?

4. How many would you expect to weigh between 5.4 and 9
pounds?

*HINT: Do not round until you get your final answer.*

Answer #1

The weights for newborn babies is approximately normally
distributed with a mean of 6 pounds and a standard deviation of 1.7
pounds. Consider a group of 900 newborn babies: 1. How many would
you expect to weigh between 5 and 9 pounds? 2. How many would you
expect to weigh less than 8 pounds? 3. How many would you expect to
weigh more than 7 pounds? 4. How many would you expect to weigh
between 6 and 10 pounds?

Use the Empirical Rule to answer the questions below:
The distribution of weights for newborn babies is approximately
normally distributed with a mean of 7.6 pounds and a standard
deviation of 0.7 pounds.
1. What percent of newborn babies weigh more than 8.3
pounds? %
2. The middle 95% of newborn babies weigh between
and pounds.
3. What percent of newborn babies weigh less than 6.2 pounds?
%
4. Approximately 50% of newborn babies weigh more
than pounds.
5. What percent of newborn...

Birth weight, in grams, of newborn babies are normally
distributed with a mean of 3290 grams and a standard deviation of
520 grams. Find the percentage of newborns that weigh between 3000
and 4000 grams. Consider again the birth weights of newborn babies,
where the mean weight is 3290 grams and the standard deviation is
520 grams. Find the weight, in grams, that would separate the
smallest 4% of weights of newborns from the rest.

The birth weight of newborn babies is normally distributed with
a mean of 7.5 lbs and a standard deviation of 1.2 lbs.
a. Find the probability that a randomly selected newborn baby
weighs between 5.9 and 8.1 pounds. Round your answer to 4 decimal
places.
b. How much would a newborn baby have to weigh to be in the top
6% for birth weight? Round your answer to 1 decimal place.

Problem 4 –Weights of newborn babies
Paediatricians measure the weights of newborn babies to
closely monitor their growth in the first six months of their life.
A study reveals that weights of newborn babies are normally
distributed with a mean of 3.2kg and a standard deviation of
0.4kg.
a) Find the probability that a randomly selected newborn baby
would have a weight more than 3.5kg. Display working. 1 mark
b) Eight newborn babies are randomly selected. What is the
probability...

Suppose that the weights of professional baseball players are
approximately normally distributed, with a mean of 207 pounds and
standard deviation of 24 pounds.
What proportion of players weigh between 200 and 250
pounds?
What is the probability that the mean weight of a team of 25
players will be more than 215 pounds?
Could you please explain too?

Suppose that the weights of professional baseball players are
approximately normally distributed, with a mean of 207 pounds and
standard deviation of 24 pounds. a. What proportion of players
weigh between 200 and 250 pounds? b. What is the probability that
the mean weight of a team of 25 players will be more than 215
pounds?

4. Suppose the birth weights of babies in the USA are normally
distributed, with mean 7.47 lb and standard deviation 1.21 lb. a.
Find the probability that a randomly chosen baby weighed between
6.4 and 8.1 pounds. (Show work.) b. Suppose a hospital wants to try
a new intervention for the smallest 4% of babies (those with the
lowest birth weights). What birth weight in pounds is the largest
that would qualify for this group? (Show your work.)

Some sources report that the weights of full-term newborn babies
in a certain town have a mean of 7 pounds and a standard deviation
of 0.6 pounds and are normally distributed.
a. What is the probability that one newborn baby will have a
weight within 0.6 pounds of the mean is, between 6.4 and 7.6
pounds, or within one standard deviation of the mean?
b. What is the probability that the average of four babies'
weights will be within 0.6...

The weights of a certain dog breed are approximately normally
distributed with a mean of 53 pounds, and a standard deviation of
5.9 pounds. Answer the following questions. Write your answers in
percent form. Round your answers to the nearest tenth of a
percent.
a) Find the percentage of dogs of this breed that weigh less than
53 pounds. %
b) Find the percentage of dogs of this breed that weigh less than
49 pounds. %
c) Find the percentage...

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